MathDB
Circular Column and Spheres

Source: 2003 National High School Mathematics League, Exam One, Problem 11

March 16, 2020
geometry3D geometrysphere

Problem Statement

Eight spheres with radius of 11 are put into a circular column. There are two floors, and each sphere is tangent to adjacent four spheres, one of the bottom surfaces, and the flank. Then the height of the circular column is________.